Asimple random sample consists of 65 lengths of piano wire that were tested forthe amount of extension under a load of 30 n. the average extension for the 65 lines was 1.102mm and the standard deviation (sample) was 0.020 mm. let µ represent the mean extensionfor all specimens of this type of piano wire.(a) assuming a significance level of α = 0.05, determine the critical value for testingh0 : µ ≤ 1.1 vs ha : µ > 1.1.(b) find the test statistics and p-value for the previous test. (an approximation of the p-value using a t-table is sufficient)(c) state the conclusion of the previous test.